Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space

Abstract

We show that the equivalence of nonlinear sigma and $C{P}^1$ models which is valid on the commutative space is broken on the noncommutative space. This conclusion is arrived at through investigation of new BPS solitons that do not exist in the commutative limit.

arXiv comment17 pages, LaTeX2e

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Cited by in corpus (7)

• An Estimate of the Primordial Non-Gaussianity Parameter f_NL Using the Needlet Bispectrum from WMAP
• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• $C{P}^{(N-1)}$ model in aether-superspace
• Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
• On the energy crisis in noncommutative CP(1) model
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space